Multiplying on a Number Line

This is a complete lesson for third grade with teaching and exercises about multiplying on a number line. Students write multiplications that match the repeated jumps on a number line. They use skips of 3 and skips of 4 on the number line to help them multiply by 3 and by 4. Students also draw the number line jumps to match given multiplications.

Five jumps, each
jump is two steps.

5 × 2 = 10.

Four jumps, each
jump is three steps.

4 × 3 = 12.

1. Write the multiplication
sentence that the jumps on the number line illustrate.

`

a. _____ × ______ = ________

b. _____ × ______ = ________

c. _____ × ______ = ________

d. _____ × ______ = ________

2. Draw more “skips” of three.

3. Multiply times 3. Use the skips above to help.

a. 5 × 3 = ______

4 × 3 =
______

b. 8 × 3 = ______

7 × 3 =
______

c. 6 × 3 =
______

3 × 3 = ______

d. 2 × 3 = ______

9 × 3 =
______

4.
How many skips of three are needed? Use the
number line above to help.

a. _____ × 3 = 24

_____ × 3 =
9

b. _____ × 3 = 18

_____ × 3 =
15

c. _____ × 3 =
21

_____ × 3 = 12

d. _____ × 3 = 6

_____
× 3 =
3

5. Draw more “skips” of four.

6. Multiply times 4. Use the skips above to help.

a. 2 × 4 = ______

4 × 4 =
______

b. 6 × 4 = ______

7 × 4 =
______

c. 8 × 4 =
______

3 × 4 = ______

d. 5 × 4 = ______

1 × 4 =
______

7.
How many skips of four are needed? Use the
number line above to help.

a. _____ × 4 = 24

_____ × 4 = 8

b. _____ × 4 = 0

_____
× 4 =
12

c. _____ × 4 =
16

_____ × 4 = 8

d. _____ × 4 = 20

_____ × 4 = 4

8. Continue and draw jumps
to fit the multiplication problem.

a. 6 × 4 = ________

b. 5 × 5 = ________

c. 6 × 5 = ________

d. 7 × 4 =
________

e. 3 × 10 = ________

9. Add repeatedly (or skip-count) to
multiply. You can use the number line to help.

How to set up algebraic equations to match word problems
Students often have problems setting up an equation for a word problem in algebra. To do that, they need to see the RELATIONSHIP between the different quantities in the problem. This article explains some of those relationships.